Spurs were heavily linked with the England international over the summer, with rumours having suggested that they approached the Saints to discuss a deal.
However the South Coast club quickly dismissed efforts to snap up the 25-year-old, after raising vast amounts of cash through the sales of Adam Lallana, Dejan Lovren and Calum Chambers, among others.
J-Rod is currently recovering from a knee injury – which ended his 2013/14 campaign prematurely and ruled him out of the World Cup – but Spurs have maintained an interested in him.
And now it’s understood that Mauricio Pochettino has told members of the Lilywhites’ hierarchy that he wants to secure the attacker in January.
The Argentine coached Rodriguez while at St Mary’s Stadium, and is known to be a huge fan of his abilities and versatility.
Southampton are ready for offers, but they may be reluctant to deal with Tottenham after the club’s pursuit of Morgan Schneiderlin – whom they may re-visit in a few months – left them angered.